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    Radius of Convergence of the Power Series

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    Complex Variable
    Radius of Convergence of the Power Series

    ∞ ∞
    Theorem:- ∑ anzn is a power series and ∑ nanzn - 1 is the power series obtained
    n=0 n=0
    by differentiating the first series term by term.
    Then the derived series has the same radius of convergence as the original series.

    See the attached file.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:15 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/radius-convergence-power-series-37243

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    Complex Variable
    Radius of Convergence of the Power Series
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    This solution is comprised of a detailed explanation of the radius of convergence of the function. The radius of convergence of the power series are determined.

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